Squaring a repeating 6-digit number
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- Choose a number with repeating 6's .
- The square is made up of:
- One less 4 than there are digits in the number;
- One 3;
- The same number of 5's as 4's;
- A final 6.
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Example:
- If the number to be squared is 666:
- The square has:
one less 4 than digits in
the number
4 4
one 3
3
same number of 5's as 4's 5 5
a final 6
6
- So the square of 666 is 443556.
See the pattern?
- If the number to be squared is 66666:
- The square has:
one less 4 than digits in
the number)
4 4 4 4
one 3
3
same number of 5's as 4's
5 5 5 5
a final 6
6
- So the square of 66666 is 4444355556.
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